2012
DOI: 10.1063/1.3701265
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Scattering intensity of bicontinuous microemulsions and sponge phases

Abstract: Monte Carlo simulations of dynamically triangulated surfaces of variable topology are used to investigate the scattering intensities of bicontinuous microemulsions. The bulk scattering intensity is shown to follow the Teubner-Strey expression. The domain size and the correlation length are extracted from the scattering peaks as a function of the bending rigidity, saddle-splay modulus, and surfactant density. The results are compared to earlier theories based on Ginzburg-Landau and Gaussian random field models.… Show more

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Cited by 28 publications
(33 citation statements)
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“…Alternatively, membranes can be modeled as triangulated surfaces, 29,33,34 which require however discrete bond reconnections to describe topological changes. 33,35,36 After the first meshless-membrane model was proposed in 1991, 37 several meshless-membrane models have been developed. [30][31][32][38][39][40][41] In contrast to other meshless-membrane approaches, our models [30][31][32] are capable of separately controlling the membrane bending rigidity κ and the line tension Γ of membrane edges.…”
Section: Introductionmentioning
confidence: 99%
“…Alternatively, membranes can be modeled as triangulated surfaces, 29,33,34 which require however discrete bond reconnections to describe topological changes. 33,35,36 After the first meshless-membrane model was proposed in 1991, 37 several meshless-membrane models have been developed. [30][31][32][38][39][40][41] In contrast to other meshless-membrane approaches, our models [30][31][32] are capable of separately controlling the membrane bending rigidity κ and the line tension Γ of membrane edges.…”
Section: Introductionmentioning
confidence: 99%
“…The basic assumption (eqn (3)) that k R,SANS is a linear combination of k 0 and k 0 is inferred from ref. 17 as the simplest ansatz consistent with the simulations. The combination of phase diagram measurements together with SANS-and NSE-experiments provided the necessary information to separate the different contributions and to determine the parameters a 1 and a 2 experimentally.…”
Section: Discussionmentioning
confidence: 76%
“…The simplest ansatz, as used in ref. 17, assumes that the bending rigidity measured by SANS is a linear combination of the two with prefactors a 1 and a 2 . One can then write for k 0,SANS :…”
Section: Introductionmentioning
confidence: 99%
“…In this case, random surface models come into play that are based on Landau theory. 42,43 Here, we use the phenomenological model proposed by Teubner and Strey in which Gaussian fluctuations of the order parameter field determine the scattering intensity in the vicinity of the peak 34 to estimate the domain size and the correlation length of the structures formed at c s ≥ 0.46. The fits reveal a domain size d of 7.1 nm and 6.4 nm for c s = 0.46 and 0.56, respectively, and a correlation length ≤4.5 nm for both systems.…”
Section: Tubular Reverse Micelles and Interconnected Networkmentioning
confidence: 99%